Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics of Atomic Nuclei

Interaction of attosecond electromagnetic pulses with atoms: The exactly solvable model

Yu. V. Popov, Konstantin Alekseevich Kouzakov, Sergue Il'ich Vinitsky, Alexander A. Gusev

Published Mar 1, 2007• 3 citations
Publisher

Abstract

We consider the exactly solvable model of interaction of zero-duration electromagnetic pulses with an atom. The model has a number of peculiar properties which are outlined in the cases of a single pulse and two opposite pulses. In perspective, it can be useful in different fields of physics involving interaction of attosecond laser pulses with quantum systems.

DOI
10.1134/s1063778807030222

Related papers

SECOND INTERNATIONAL WORKSHOP ON SUPERINTEGRABLE SYSTEMS IN CLASSICAL AND QUANTUM MECHANICS Theory Interaction of Attosecond Electromagnetic Pulses with Atoms: The Exactly Solvable Model *

Yu. V. Popov, Konstantin Alekseevich Kouzakov, Sergue Il'ich Vinitsky +1 more

We consider the exactly solvable model of interaction of zero-duration electromagnetic pulses with an atom. Themodel has a number of peculiar properties which are outlined in the cases of a single pulse and two opposite pulses. In perspective, it can be useful in different fields of physics involving interaction of attosecond laser pulses with quantum systems. PACS numbers: 32.80.Rm DOI: 10.1134/S1063778807030222

•Jan 1, 2007•0 citations

One-dimensional "atom" with zero-range potential perturbed by finite sequence of zero-duration laser pulses

Vladimir Leonardovich Derbov, Alexander A. Gusev, Ochbadrakh Chuluunbaatar +3 more

The exactly soluble model of a train of zero-duration electromagnetic pulses interacting with a 1D atom with short-range interaction potential modelled by a δ-function is considered. The model is related to the up-to-date laser techniques providing the duration of pulses as short as a few attoseconds and the intensities higher than 1014 W/cm2.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular Modeling•Apr 26, 2018•0 citations

Reemission spectra and inelastic processes at interaction of attosecond and shorter duration electromagnetic pulses with atoms

Dmitry N. Makarov, V. I. Matveev

Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by one- and many-electron atoms have been calculated. The results have been presented in the form of analytical formulas.

EPJ Web of Conferences•Dec 13, 2016•0 citations

Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses at the interaction with atoms

Dmitry N. Makarov, V. I. Matveev

Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The results have been presented in the form of analytical formulas. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by single-electron atoms have been calculated.

Journal of Experimental and Theoretical Physics Letters•Jun 1, 2016•11 citations

Two-photon Excitation of Hydrogen Atom by Sub-Femtoseconds Electromagnetic Pulses

Valery Alexandrovich Astapenko, S. V. Sakhno

The development of methods of generation of ultrashort pulses (USP) of femto- and attosecond duration ranges with controlled parameters necessitates the theoretical study of features of their interaction with a matter. Among such features that do not exist in case of “long” pulses should first of all be the nonlinear dependence of the photoprocess probability W on the USP duration as well as the dependence on the carrier phase with respect to the pulse envelope. It should be noted that if the dependence of the probability W on the phase manifests itself either only for very short pulses, when ωt 1 too for fields of moderate strength, when the perturbation theory is applicable. The present work is dedicated to the theoretical analysis of two-photon excitation of hydrogen atom in a discrete energy spectrum by ultrashort electromagnetic pulses of femto- and subfemtosecond ranges of durations. As examples, excitation of hydrogen atom from the ground state to excited states with a zero orbital moment is considered.

International Conference on Photonics, Optics and Laser Technology•Jan 1, 2016•0 citations

Non-linear excitation of atoms by ultrashort electromagnetic pulses

Valery Alexandrovich Astapenko, Sergey V. Sakhno

The development of methods of generation of ultrashort pulses (USP) of femto- and attosecond duration ranges with controlled parameters necessitates the theoretical study of features of their interaction with a matter [1]. Among such features that do not exist in case of “long” pulses should first of all be the nonlinear dependence of the photoprocess probability W on the USP duration (τ) [2] as well as the dependence on the carrier phase with respect to the pulse envelope (φ) [3-4]. It should be noted that if the dependence of the probability W on the phase φ manifests itself either only for very short pulses, when ωτ < 1 (ω is carrier frequency of the pulse), or in case of a nonlinear photoprocess [3], the function W(τ) can differ from a linear function in the limit ωτ> 1 too for fields of moderate strength, when the perturbation theory is applicable [2].

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 27, 2016•0 citations
We consider the exactly solvable model of interaction of zero-duration electromagnetic pulses with an atom. The model has a number of peculiar properties which are outlined in the cases of a single pulse and two opposite pulses. In perspective, it can be useful in different fields of physics involving interaction of attosecond laser pulses with quantum systems.
Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by one- and many-electron atoms have been calculated. The results have been presented in the form of analytical formulas.
Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The results have been presented in the form of analytical formulas. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by single-electron atoms have been calculated.
The development of methods of generation of ultrashort pulses (USP) of femto- and attosecond duration ranges with controlled parameters necessitates the theoretical study of features of their interaction with a matter. Among such features that do not exist in case of “long” pulses should first of all be the nonlinear dependence of the photoprocess probability W on the USP duration as well as the dependence on the carrier phase with respect to the pulse envelope. It should be noted that if the dependence of the probability W on the phase manifests itself either only for very short pulses, when ωt 1 too for fields of moderate strength, when the perturbation theory is applicable. The present work is dedicated to the theoretical analysis of two-photon excitation of hydrogen atom in a discrete energy spectrum by ultrashort electromagnetic pulses of femto- and subfemtosecond ranges of durations. As examples, excitation of hydrogen atom from the ground state to excited states with a zero orbital moment is considered.
The development of methods of generation of ultrashort pulses (USP) of femto- and attosecond duration ranges with controlled parameters necessitates the theoretical study of features of their interaction with a matter [1]. Among such features that do not exist in case of “long” pulses should first of all be the nonlinear dependence of the photoprocess probability W on the USP duration (τ) [2] as well as the dependence on the carrier phase with respect to the pulse envelope (φ) [3-4]. It should be noted that if the dependence of the probability W on the phase φ manifests itself either only for very short pulses, when ωτ < 1 (ω is carrier frequency of the pulse), or in case of a nonlinear photoprocess [3], the function W(τ) can differ from a linear function in the limit ωτ> 1 too for fields of moderate strength, when the perturbation theory is applicable [2].